Using information flow for modelling mathematical metaphors

Markus Guhe, Alan Smaill, Alison Pease · 2009

We argue for two points in this paper. Firstly, formal models can be a useful means for cognitive modelling, in particular for domains that traditionally already use this kind of model. Secondly, we present a formal model of how two of the ground-ing metaphors for arithmetic proposed by Lakoff and Núñez (2000) can be linked to basic notions of arithmetic using the infomorphisms of the Information Flow theory.

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